If then you then the range is a unit disk down at -1 on the z-axis. (supposing you work in "kind of" )

Jan 24th 2009, 05:25 PM

ThePerfectHacker

Quote:

Originally Posted by tttcomrader

For , show that the following limit exists:

How to define when in such a way to make f continuous?

Thanks.

Since it means or .

If it means because .
Thus, in that case .

If then because .

The function cannot be extended to a continous function on . This is because is not continous on . It has one value inside the disk and it has another values outside the disk. Thus, it cannot be continous.